New type of basic functions of FEM in application to solution of inverse heat conduction problem
Tóm tắt
The work presents the application of heat polynomials for solving an inverse problem. The heat polynomials form the Treffetz Method for non-stationary heat conduction problem. They have been used as base functions in Finite Element Method. Application of heat polynomials permits to reduce the order of numerical integration as compared to the classical Finite Element Method with formulation of the matrix of system of equations.
Tài liệu tham khảo
Ciałkowski, M J. Solution of Inverse Heat Conduction Problem with the Use of New Type of Finite Element Base Functions. In: Proceedings of the International Symposium on Trends in Continuum Physics. TRECOP’98 Pozna’n, 1998. 64–78
Ciałkowski, M J, Futakiewicz, S, Hożejowski, L. Heat Polynomials Applied to Direct and Inverse Heat Conduction Problems. In: Proceedings of the International Symposium on Trends in Continuum Physics, TRECOP’98 Pozna’n, 1998, 79–86
Ciałkowski, M J, Futakiewicz, S, Hożejowski, L. Method of Heat Polynomials in Solving the Inverse Heat Conduction Problems. Zeitschrift für Angewandte Mathematik und Mechanik, 1999, 79: T709–710
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